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Two-vibron bound states in the β--Fermi--Pasta--Ulam model
引用本文:胡新广,唐 翌. Two-vibron bound states in the β--Fermi--Pasta--Ulam model[J]. 中国物理 B, 2008, 17(11): 4268-4272
作者姓名:胡新广  唐 翌
作者单位:Department of Physics, Xiangtan University, Xiangtan 411105, China;Department of Physics, Xiangtan University, Xiangtan 411105, China
基金项目:Project supported by the KeyProject of Hunan Provincial Educational Department of China (GrantNo 04A058).
摘    要:
This paper studies the two-vibron bound states in the β- Fermi Pasta-Ulam model by means of the number conserving approximation combined with the number state method. The results indicate that on-site, adjacent-site and mixed two-vibron bound states may exist in the model. Specially, wave number has a significant effect on such bound states, which may be considered as the quantum effects of the localized states in quantum systems.

关 键 词:Fermi-Pasta-Ulam模型  数字状态法  维布隆振动电容器  界态
收稿时间:2008-02-14

Two-vibron bound states in the β--Fermi--Pasta--Ulam model
Hu Xin-Guang and Tang Yi. Two-vibron bound states in the β--Fermi--Pasta--Ulam model[J]. Chinese Physics B, 2008, 17(11): 4268-4272
Authors:Hu Xin-Guang and Tang Yi
Affiliation:Department of Physics, Xiangtan University, Xiangtan 411105, China
Abstract:
This paper studies the two-vibron bound states in the $beta$--Fermi--Pasta--Ulam model by means of the number conservingapproximation combined with the number state method. The resultsindicate that on-site, adjacent-site and mixed two-vibron boundstates may exist in the model. Specially, wave number has asignificant effect on such bound states, which may be considered asthe quantum effects of the localized states in quantum systems.
Keywords:discrete breathers  Fermi--Pasta--Ulam model   number state method   two-vibron boundstates
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